Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in tall. her paper is 12 in. wide and 24 in. tall. She decides to use the scale 1 in. = 4in. is this a reasonable scale?
To determine if this is a reasonable scale, we can calculate the dimensions of the painting on the scale drawing.
Original dimensions:
Width: 48 in.
Height: 120 in.
Scale:
1 in. = 4 in.
Scale drawing dimensions:
Width: 48 in. / 4 = 12 in.
Height: 120 in. / 4 = 30 in.
Since the scale drawing dimensions fit within the dimensions of Sarah's paper (12 in. width and 24 in. height), the scale 1 in. = 4 in. is reasonable for this scale drawing.